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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import yfinance as yf\n",
    "import pandas_datareader as pdr\n",
    "from mpl_finance import candlestick_ohlc\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import SPY stock price\n",
    "df_spy = pdr.get_data_yahoo(\"SPY\", start=\"2019-01-01\", end=\"2019-09-30\")\n",
    "# import AAPL stock price\n",
    "df_aapl = pdr.get_data_yahoo(\"AAPL\", start=\"2019-01-01\", end=\"2019-09-30\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
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     "data": {
      "text/plain": "                  High         Low        Open       Close       Volume  \\\nDate                                                                      \n2019-01-02  251.210007  245.949997  245.979996  250.179993  126925200.0   \n2019-01-03  248.570007  243.669998  248.229996  244.210007  144140700.0   \n2019-01-04  253.110001  247.169998  247.589996  252.389999  142628800.0   \n2019-01-07  255.949997  251.690002  252.690002  254.380005  103139100.0   \n2019-01-08  257.309998  254.000000  256.820007  256.769989  102512600.0   \n\n             Adj Close  \nDate                    \n2019-01-02  243.025879  \n2019-01-03  237.226593  \n2019-01-04  245.172668  \n2019-01-07  247.105774  \n2019-01-08  249.427399  ",
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     "metadata": {},
     "execution_count": 4
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   ],
   "source": [
    "df_spy.head()"
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   "execution_count": 8,
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df_aapl[[\"Open\", \"High\", \"Low\", \"Close\"]].plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 10))\n",
    "ax = plt.subplot()\n",
    "\n",
    "plot_data = []\n",
    "for i in range(150, len(df_aapl)):\n",
    "    row = [\n",
    "        i, \n",
    "        df_aapl.Open.iloc[i], \n",
    "        df_aapl.High.iloc[i], \n",
    "        df_aapl.Low.iloc[i], \n",
    "        df_aapl.Close.iloc[i], \n",
    "    ]\n",
    "    plot_data.append(row)\n",
    "candlestick_ohlc(ax, plot_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from stockstats import StockDataFrame\n",
    "stocks = StockDataFrame.retype(df_aapl[[\"Open\", \"Close\", \"High\", \"Low\", \"Volume\"]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.plot(stocks[\"close_10_sma\"], color=\"b\", label=\"SMA\")\n",
    "plt.plot(df_aapl.Close, color=\"g\", label=\"Close prices\")\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.plot(stocks[\"close_10_sma\"], color=\"b\", label=\"SMA\") # plotting SMA\n",
    "plt.plot(stocks[\"close_10_ema\"], color=\"k\", label=\"EMA\")\n",
    "plt.plot(df_aapl.Close, color=\"g\", label=\"Close prices\") # plotting close prices\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": "NOTE: Behavior of MACDH calculation has changed as of July 2017 - it is now 1/2 of previous calculated values\n"
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.plot(stocks[\"macd\"], color=\"b\", label=\"MACD\")\n",
    "plt.plot(stocks[\"macds\"], color=\"g\", label=\"Signal Line\")\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}